Let A = -3 3-4 -1 -1 2 -3 2-1 and B = 40-2 -201 -3 4 4

Q: Find the eigenvalues of A and B (easy for triangular matrices) and A+ B: A - B [3 ]-[ 1 1 : λι λι ³…

A: If A is any matrix.λ is an Eigen value of A if det(λI -A) =0Where I is identity matrix.  Given,…

Q: Use the inverse matrix method to solve Ax = b below X = (x, +2x, = 3 (2x, – x, = 1

A: Given that  To solve the given system by using inverse matrix method. X1+2x2=3 2x1-x2=1

Q: If any three square matrices have the same size as A ,B,C AB=I and CA=I prove that A=C=A^-1

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Q: Determine whether or not the matrix  {(2) , (3)} is a basis for R^2…

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Q: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

A: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

Q: For A S calculate I+tA+ 0.904837 (-2-6) X 10 -0.200334 X 1.10517 t2 The actual value of e014, to six…

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Q: solve the last question from the picture above, #5 eigenvalues ,2,,3,4,5 if the matrix is…

A: for ease of everything I will provide whole answer.

Q: If matrix A, B and C are invertible matrix of same order then (ABC)^(-1) = * C^-1) x B^(-1) x A^(-1)…

A: Given that A,B and C are invertible matrices of the same order.

Q: Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is…

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Q: Suppose A, B, and X are n x n matricies with A, X, and A - AX invertible and suppose (A - AX)^-1 =…

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Q: Create a 3x3 matrix A with a determinant of 10. Then, compute the matrix of cofactors of A and the…

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Q: A set of 3 vectors in IR^4 spans IR^4. Is this true or false?

A: Given statement is, “A set of three vectors in R4 spans R4.”

Q: Let A = [0 1 0 0 ], A^(-1) is equal to: * Does not exist Identity matrix Null matrix

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Q: for Find property 8. Give matrix A and constants c and d so that Cc+d) @ A# (COA) + (LOA) a…

A: To give a counterexample to property c+d⊗A≠c⊗A⊕d⊗A. Here A is a matrix and c, d are scalars. The…

Q: Please explain how the chracteristic polynomial = -(lambda - 3)(lambda - 3)(lambda - 2) for the…

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Q: For a non - singular square matrix 4, if A ^ 3 = A, then A must be (A) a nilpotent matrix (B) an…

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Q: A,B square matrices A^3=B^3, A^2B=B^2A, A^2+B^2 invertible Show A=B

A: see below the answer

Q: A = 142 0-3 0 4 4 3

A: The given matrix is:Find the eigenvalues and eigenvectors of the matrix.Definition:  A non-zero…

Q: Is it true that when an n*n matrix whose columns form a basis of R^n, then A is invertible?

A: We shall answer this in next step